Prime Factorization of 5,800
Answer
5,800 = 23 × 52 × 29
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 5,800 | 2 | 2,900 |
| 2 | 2,900 | 2 | 1,450 |
| 3 | 1,450 | 2 | 725 |
| 4 | 725 | 5 | 145 |
| 5 | 145 | 5 | 29 |
| 6 | 29 | 29 | 1 |
Prime Factors
The prime factors of 5,800 are: 2, 5, 29
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Understanding Prime Factorization
The prime factorization of 5,800 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 5,800
- Break it down into its prime factors: 2, 5, 29
- Final expression: 23 × 52 × 29